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Finding the Fourth Proportional to 219,916.56, 303,485.76 and 119,314.56

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Solution

The fourth proportional to 219,916.56, 303,485.76 and 119,314.56 is: 164,654.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,916.56 : 303,485.76 = 119,314.56 : x
  2. Step 2: Convert to fraction form
    219,916.56/303,485.76 = 119,314.56/x
  3. Step 3: Cross multiply
    219,916.56x = 303,485.76 × 119,314.56
  4. Step 4: Simplify right side
    219,916.56x = 36,210,269,920.67
  5. Step 5: Solve for x
    x = 36,210,269,920.67/219,916.56
  6. Step 6: Final answer
    x = 164,654.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.